Set Theory as a foundational system for mathematics. ZF, ZFC and ZF with Atoms. Relative consistency of the Axiom of Choice, the Continuum Hypothesis, the reals as a countable union of countable sets, the existence of a countable family of pairs without a ...
Branche des mathématiques en lien avec le fondement des mathématiques et l'informatique théorique. Le cours est centré sur la logique du 1er ordre et l'articulation entre syntaxe et sémantique. C'est entre autres un cours dans lequel la pratique mathématiq ...
This course will serve as a basic introduction to the mathematical theory of general relativity. We will cover topics including the formalism of Lorentzian geometry, the formulation of the initial value problem for the Einstein equations and applications o ...
Comprendre et discuter les questions centrales de la philosophie des sciences de la vie, par exemple celle du réductionnisme ou pourquoi le libre arbitre pourrait être une illusion. Transposer les problèmes et les arguments d'un débat à un autre. Évaluer l ...
We introduce formal verification as an approach for developing highly reliable systems. Formal verification finds proofs that computer systems work under all relevant scenarios. We will learn how to use formal verification tools and explain the theory and ...
Discrete mathematics is a discipline with applications to almost all areas of study. It provides a set of indispensable tools to computer science in particular. This course reviews (familiar) topics as diverse as mathematical reasoning, combinatorics, disc ...
The studio is conceived as an investigation into the archetypical elements of architecture in light of the challenges of our present age. By imbricating these two issues a framework is set up in which a critical reflection on what architecture might be tod ...